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Finding the Fourth Proportional to 11,513.76, 15,896.64 and 8,856.48

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Solution

The fourth proportional to 11,513.76, 15,896.64 and 8,856.48 is: 12,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.76 : 15,896.64 = 8,856.48 : x
  2. Step 2: Convert to fraction form
    11,513.76/15,896.64 = 8,856.48/x
  3. Step 3: Cross multiply
    11,513.76x = 15,896.64 × 8,856.48
  4. Step 4: Simplify right side
    11,513.76x = 140,788,274.23
  5. Step 5: Solve for x
    x = 140,788,274.23/11,513.76
  6. Step 6: Final answer
    x = 12,227.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.